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Finding the Fourth Proportional to 205,925.40, 309,060.90 and 100,834.20

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Solution

The fourth proportional to 205,925.40, 309,060.90 and 100,834.20 is: 151,335.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,925.40 : 309,060.90 = 100,834.20 : x
  2. Step 2: Convert to fraction form
    205,925.40/309,060.90 = 100,834.20/x
  3. Step 3: Cross multiply
    205,925.40x = 309,060.90 × 100,834.20
  4. Step 4: Simplify right side
    205,925.40x = 31,163,908,602.78
  5. Step 5: Solve for x
    x = 31,163,908,602.78/205,925.40
  6. Step 6: Final answer
    x = 151,335.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.